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Which one of the following is the correct representation of set A = {2,4,8,16….} in set builder form?(a) {x: x = 2n where n ∈ N}(b) {x: x = 2^n where n ∈ N}(c) {x: x = 4n where n ∈ N}(d) {x: x = 2n+4 where n ∈ N}I have been asked this question in final exam.Question is taken from Sets and their Representations in section Sets of Mathematics – Class 11

Answer»

The correct answer is (B) {X: x = 2^n where n ∈ N}

For EXPLANATION: The SEQUENCE is a geometric PROGRESSION with base 2 hence 2^n is the correct answer.



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